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Consistent Estimation of Linear Panel Data Models with Measurement Error

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  • Erik Meijer
  • Laura Spierdijk
  • Tom J. Wansbeek

Abstract

Measurement error causes a downward bias when estimating a panel data linear regression model. The panel data context offers various opportunities to derive moment conditions that result in consistent GMM estimators. We consider three sources of moment conditions: (i) restrictions on the intertemporal covariance matrix of the errors in the equations, (ii) heteroskedasticity and nonlinearity in the relation between the error-ridden covariate and another, error-free, covariate in the equation, and (iii) nonzero third moments of the covariates. In a simulation study we show that these approaches work well.

Suggested Citation

  • Erik Meijer & Laura Spierdijk & Tom J. Wansbeek, 2015. "Consistent Estimation of Linear Panel Data Models with Measurement Error," CESifo Working Paper Series 5164, CESifo.
    • Handle: RePEc:ces:ceswps:_5164
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    2. Hamidou Jawara & Rainer Thiele, 2021. "The Nutrient-Income Elasticity in Ultra-Poor Households: Evidence from Kenya," The European Journal of Development Research, Palgrave Macmillan;European Association of Development Research and Training Institutes (EADI), vol. 33(6), pages 1795-1819, December.
    3. Nikolay Gospodinov & Ivana Komunjer & Serena Ng, 2014. "Minimum Distance Estimation of Dynamic Models with Errors-In-Variables," FRB Atlanta Working Paper 2014-11, Federal Reserve Bank of Atlanta.
    4. Fırat Yaman & Patricia Cubí-Mollá & Sergiu Ungureanu, 2023. "Which Decision Theory Describes Life Satisfaction Best? Evidence from Annual Panel Data," Journal of Happiness Studies, Springer, vol. 24(3), pages 893-916, March.
    5. Bělín, Matěj, 2020. "Time-invariant regressors under fixed effects: Simple identification via a proxy variable," Economics Letters, Elsevier, vol. 186(C).
    6. Erik Meijer & Edward Oczkowski & Tom Wansbeek, 2021. "How measurement error affects inference in linear regression," Empirical Economics, Springer, vol. 60(1), pages 131-155, January.
    7. Svetlana Shchurina V. & Marina Vorobyeva A. & С. Щурина В. & М. Воробьева А., 2018. "Прогнозирование финансовых показателей деятельности банков для обеспечения их стабильного развития // Forecasting the Financial Performanceof Banks to Ensure Their Stable Development," Экономика. Налоги. Право // Economics, taxes & law, ФГОБУ "Финансовый университет при Правительстве Российской Федерации" // Financial University under The Government of Russian Federation, vol. 11(1), pages 70-82.

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    More about this item

    Keywords

    measurement error; panel data; third moments; heteroskedasticity; GMM;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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